Question

An apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant. The apartment building has 92 total occupants.

2× + 16 =92

How many double-occupancy apartments are currently rented?

Answer 1

The currently rented double-occupancy apartments are 38 apartments.

Explanation:

An apartment has rented x apartments with two occupants and 16 apartments with one occupant and the total occupants were 92, these can be written in the equation as

`2x+16=92`

To find the number of double occupancy apartments that are rented, we need to solve the equation and find the value of x.

`2x+16=92`

Subtracting 16 from both sides of the equation,

`\begin{aligned}&2 x=92-16\\&2 x=76\end{aligned}`

Dividing both sides by 2, we get,

`\begin{aligned}(2 x)/(2) &=(76)/(2) \\x &=38\end{aligned}`

Thus, there are 38 double-occupancy apartments are currently rented.